Question 13.P.7: Repeat Problem 13.6 considering only the first mode. Compute...

Repeat Problem 13.6 considering only the first mode. Compute the value of error norm by using Equation 13.45.

e = \frac{\mathrm{f}^T e_M}{\mathrm{f} ^T\mathrm{f}}       (13.45)

Improve the estimate of story forces obtained by you by adding static corrections for the responses in the second and third modes.

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In first mode \mathbf{f}_{S}=\left[\begin{array}{l}0.907 \\ 2.067 \\ 2.865\end{array}\right] \quad \sin \Omega t \quad \frac{\mathbf{f}^{T} \mathbf{e}_{M}}{\mathbf{f}^{T} \mathbf{f}}=0.383

After static correction \mathbf{f}_{S}=\left[\begin{array}{l}0.570 \\ 1.300 \\ 3.544\end{array}\right] \sin \Omega t

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